## A.2. GPS ReceiversAs in the previous section, we revisit the interference scenario considered in Figure 4-23 (here reproduced as Figure A-2) to describe the parameters used to derive equations for theoretical interference analysis of UWB systems on GPS receivers. ## Figure A-2. Interference scenario of multiple UWB sources on a GPS receiverThe top half of the diagram in Figure A-2 shows multiple UWB transmitters, denoted by crosses, distributed about a 2D plane, and a cellular receiver at the position marked by a black dot. The bottom diagram is an enlarged version of the center of the top diagram, and it shows some of the dimensions required for the derivation of the interference power from the UWB transmitters to the receiver. The total interference power at the receiver from the UWB transmitters, I Equation A-9 where P Equation A-10 The received power can be approximated by Equation A-11 where P Equation A-12 Therefore, the total interference power at the receiver can be expressed as Equation A-13 Now provided 2 > n, the interference power is Equation A-14 Given that for 2 > n, as r , then the interference power at the receiver is Equation A-15 The average distance between UWB transmitters is related to the density of UWB transmitters by Equation A-16 Hence, the interference power, I Equation A-17 For UWB transmitters distributed with density r such that is less than or equal to d can be rewritten as When this condition is true, Equation A-9 becomes Equation A-18 A general expression for the UWB interference can be formulated by combining Equations A-17 and A-18: Equation A-19 where G Equation A-20 |

Ultra-Wideband Communications: Fundamentals and Applications

ISBN: 0131463268

EAN: 2147483647

EAN: 2147483647

Year: 2005

Pages: 93

Pages: 93

Authors: Faranak Nekoogar

flylib.com © 2008-2017.

If you may any questions please contact us: flylib@qtcs.net

If you may any questions please contact us: flylib@qtcs.net